[tex]-\dfrac{2}{7}v-\dfrac{5}{3}=-\dfrac{3}{2}\\\\\text{We have the denominators: 7, 3 and 2.}\\\\\text{Find LCM (Least Common Multiple)}\\\\\text{List the multiples of}\\7:\ 0;\ 7;\ 14;\ 21;\ 28;\ \boxed{42};\ 49;\ ...\\3:\ 0;\ 3;\ 6;\ 9;\ 12;\ 15;\ 18;\ 21;\ 24;\ 27;\ 30;\ 33;\ 36;\ 39;\ \boxed{42};\ 45;\ ...\\2:\ 0;\ 2;\ 4;\ 6;\ ...;\ 40;\ \boxed{42};\ 44;\ ...[/tex]
[tex]LCM(7;\ 3;\ 2)=42[/tex]
[tex]-\dfrac{2}{7}v-\dfrac{5}{3}=-\dfrac{3}{2}\ \ \ \ |\cdot42\\\\-6\cdot2v-14\cdot5=-21\cdot3\\\\-12v-70=-63\ \ \ \ |+70\\\\-12v=7\ \ \ |:(-12)\\\\v=-\dfrac{7}{12}[/tex]
